Numerical ``Particle-in-Cell'' Methods - theory and applications

Contents:

INTRODUCTION. COMPUTATIONAL PARTICLE METHODS

General characteristics

Some applications

PARTICLE-IN-CELL METHODS

Introduction

General scheme

Model particles and their properties

Errors of the particle-in-cell schemes

PARTICLE-IN-CELL METHODS ON UNSTRUCTURED MESHES

Introduction

Finite-elements bases

The Lagrangian step on unstructured meshes

The Euler step. The finite-volume method

THE PARTICLE METHODS IN GAS DYNAMICS

Introduction

Basic equations

The realization of the method

The combined particle method

The example of application

VORTEX-IN-CELL METHODS

Introduction

Vorticity dynamics in two-dimensional flows

The vortex-in-cell method in two-dimensional case

The dynamics of vortices in three-dimensional flows

The vortex-in-cell scheme for three-dimensional flows

The examples of applications

PARTICLE-IN-CELL METHODS IN COLLISIONLESS PLASMA DYNAMICS

Introduction

Collisionless plasma basic equations

General scheme and computation cycle of the method

Conservation laws in model plasma

Examples of applications

STATISTICAL PARTICLE-IN-CELL METHODS

Introduction

Kinetic equations of rarefied gas

Some procedures of Monte Carlo methods

Statistical particle methods

Examples of the application

SUPPLEMENTS

Subroutine of initial data preparation

Subroutines of interpolation between the Lagrangian and Eulerian meshes

Subroutine for the particle dynamics

The subroutines of a localization of particles on the unstructured grid

The subroutines for calculation of linear shape-functions onunstructured grids

The auxiliary subroutines

Subroutines for the solution of the Poisson equation (Poisson solvers)

Subroutine of numerical integration of the full system of Maxwellequations

2002; viii+250 pages
ISBN 90-6764-368-8
Price (all prices are subject to change without notice): EUR 184/US$ 263